Police have asked residents to be "mindful" of online fake news which has circulated around the disorder outside a Hindu temple in Smethwick.
On Tuesday, 150 people gathered outside the Durga Bhawan Temple where fireworks and missiles were thrown at police officers.
Since then, the force has seen several "unsubstantiated claims" circulating online which have led to racial abuse.
One of the incorrect claims was that a shopkeeper in the Dudley area was involved in the protests, leading to him being racially abused. Two people have now been arrested for racially aggravated pupil order offences.
There were also rumours that two young men were attacked in Oldbury during a protest. However, West Midlands Police said: "We’ve had no reports of this happening."
A picture of a police officer at a mosque is also being used to suggest police bias, but the force has said: "This is not true, and the image was taken at the start of this month during a routine visit by officers in Birmingham."
Furthermore, rumours that coaches from other parts of the region were planning to arrive in the West Midlands on Wednesday night to cause problems were false, and this did not happen.
A spokesperson for West Midlands Police said: "This week we’ve seen protest groups gathering in Smethwick and Coventry.
"Last night (22 September) we saw around 50 people gather near the Mandir (Hindu temple) in Stoney Stanton Road, Coventry.
"Officers engaged with the group and they were dispersed using special powers...
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